Jordana Cepelewicz

Mathematicians have disproved a major conjecture about the relationship between curvature and shape.

The topologist Danny Calegari discusses the inevitability of disappointment in math, and how to learn from it.

Number theorist Ken Ono is teaching Olympians to swim more efficiently.

The proof creates stricter limits on potential exceptions to the famous Riemann hypothesis.

Born poor in colonial India and dead at 32, Ramanujan had fantastical, out-of-nowhere visions that continue to shape the field today.

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future.

Mathematicians have started to prepare for a profound shift in what it means to do mathematics.

Explore a shape that can’t pass through itself, a teenage prodigy, and two new kinds of infinity.

Intuition breaks down once we’re dealing with the endless. To begin with: Some infinities are bigger than others.

Before he won a Fields Medal for his pioneering work balancing randomness and order, Yu Deng first had to achieve equilibrium in his own life.